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Finding the Fourth Proportional to 2,328.78, 3,214.35 and 1,502.22

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Solution

The fourth proportional to 2,328.78, 3,214.35 and 1,502.22 is: 2,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.78 : 3,214.35 = 1,502.22 : x
  2. Step 2: Convert to fraction form
    2,328.78/3,214.35 = 1,502.22/x
  3. Step 3: Cross multiply
    2,328.78x = 3,214.35 × 1,502.22
  4. Step 4: Simplify right side
    2,328.78x = 4,828,660.86
  5. Step 5: Solve for x
    x = 4,828,660.86/2,328.78
  6. Step 6: Final answer
    x = 2,073.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.